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Finding the Fourth Proportional to 1,184.77, 1,634.90 and 653.63

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Solution

The fourth proportional to 1,184.77, 1,634.90 and 653.63 is: 901.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.77 : 1,634.90 = 653.63 : x
  2. Step 2: Convert to fraction form
    1,184.77/1,634.90 = 653.63/x
  3. Step 3: Cross multiply
    1,184.77x = 1,634.90 × 653.63
  4. Step 4: Simplify right side
    1,184.77x = 1,068,608.24
  5. Step 5: Solve for x
    x = 1,068,608.24/1,184.77
  6. Step 6: Final answer
    x = 901.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.